Least Common Multiple of 675/941, 757/699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 675/941, 757/699 quickly i.e. 510975 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 675/941, 757/699 is 510975.

LCM(675/941, 757/699) = 510975

LCM of 675/941, 757/699

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 675/941,757/699

Given numbers are 675/941,757/699

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 675,757

Least Common Multiple of Numerators i.e. LCM of 675,757 is 510975.

GCF of Denominators means GCF of 941,699 as per the given fractions.

GCF of 941,699 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 675,757

LCM of Fractions 675/941,757/699 is 510975

Given numbers has no common factors except 1. So, there LCM is their product i.e 510975

Least Common Multiple of 675,757 with GCF Formula

Least Common Multiple of 675,757 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 675,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,757) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(675,757) x common factors =1 x 1 = 1

LCM(675,757) = ( 675 × 757 ) / 1

LCM(675,757) = 510975 / 1

LCM(675,757) = 510975


Lets's calculate GCF of 941,699

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 510975/1

Therefore the LCM of Fractions 675/941,757/699 is 510975

Greatest Common Factor of 941,699 By Matching Biggest Common Factor Method

Greatest Common Factor of 941,699 By Matching Biggest Common Factor Method

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Greatest Common Factor

We found the factors 941,699 . The biggest common factor number is the GCF number.
So the greatest common factor 941,699 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 675/941, 757/699

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 675/941, 757/699?

Answer: LCM of Numerators as per given numbers 675/941, 757/699 is

LCM of Numerators i.e. for 675,757 is 510975

GCF of denominators i.e. for 941,699 is 1.

Thus, LCM of Fractions is 510975.Finally, LCM of Fractions for 675/941, 757/699 is 510975.